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Displaying 621 – 640 of 2115

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Groupoids assigned to relational systems

Ivan Chajda, Helmut Länger (2013)

Mathematica Bohemica

By a relational system we mean a couple ( A , R ) where A is a set and R is a binary relation on A , i.e. R A × A . To every directed relational system 𝒜 = ( A , R ) we assign a groupoid 𝒢 ( 𝒜 ) = ( A , · ) on the same base set where x y = y if and only if ( x , y ) R . We characterize basic properties of R by means of identities satisfied by 𝒢 ( 𝒜 ) and show how homomorphisms between those groupoids are related to certain homomorphisms of relational systems.

Homomorphic images of finite subdirectly irreducible unary algebras

Jaroslav Ježek, P. Marković, David Stanovský (2007)

Czechoslovak Mathematical Journal

We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty.

Homomorphisms of algebras

Miroslav Novotný (2002)

Czechoslovak Mathematical Journal

A construction of all homomorphisms of an algebra with a finite number of operations into an algebra of the same type is presented that consists in replacing algebras by suitable mono-unary algebras (possibly with some nullary operations) and their homomorphisms by suitable homomorphisms of the corresponding mono-unary algebras. Since a construction of all homomorphisms between two mono-unary algebras is known (see, e.g., [6], [7], [8]), a construction of all homomorphisms of an arbitrary algebra...

Homomorphisms of heterogeneous algebras

Miroslav Novotný (2002)

Czechoslovak Mathematical Journal

A construction of all homomorphisms of a heterogeneous algebra into an algebra of the same type is presented. A relational structure is assigned to any heterogeneous algebra, and homomorphisms between these relational structures make it possible to construct homomorphisms between heterogeneous algebras. Homomorphisms of relational structures can be constructed using homomorphisms of algebras that are described in [11].

Currently displaying 621 – 640 of 2115